What is the Greatest Common Factor of 21722 and 21731?

Greatest common factor (GCF) of 21722 and 21731 is 1.

GCF(21722,21731) = 1

We will now calculate the prime factors of 21722 and 21731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21722 and 21731.

How to find the GCF of 21722 and 21731?

We will first find the prime factorization of 21722 and 21731. After we will calculate the factors of 21722 and 21731 and find the biggest common factor number .

Step-1: Prime Factorization of 21722

Prime factors of 21722 are 2, 10861. Prime factorization of 21722 in exponential form is:

21722 = 2¹ × 10861¹

Step-2: Prime Factorization of 21731

Prime factors of 21731 are 31, 701. Prime factorization of 21731 in exponential form is:

21731 = 31¹ × 701¹

Step-3: Factors of 21722

List of positive integer factors of 21722 that divides 21722 without a remainder.

1, 2, 10861

Step-4: Factors of 21731

List of positive integer factors of 21731 that divides 21722 without a remainder.

1, 31, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21722 and 21731. The biggest common factor number is the GCF number.
So the greatest common factor 21722 and 21731 is 1.

Also check out the Least Common Multiple of 21722 and 21731